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Kernel methods have been extensively utilized in machine learning for classification and prediction tasks due to their ability to capture complex non-linear data patterns. However, single kernel approaches are inherently limited, as they…

机器学习 · 计算机科学 2026-02-12 Qiyuan Shi , Jian Kang , Yi Li

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

机器学习 · 计算机科学 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

We propose a new class of learning algorithms that combines variational approximation and Markov chain Monte Carlo (MCMC) simulation. Naive algorithms that use the variational approximation as proposal distribution can perform poorly…

机器学习 · 计算机科学 2013-01-14 Nando de Freitas , Pedro Hojen-Sorensen , Michael I. Jordan , Stuart Russell

We consider the problem of metric learning subject to a set of constraints on relative-distance comparisons between the data items. Such constraints are meant to reflect side-information that is not expressed directly in the feature vectors…

机器学习 · 计算机科学 2016-12-06 Ehsan Amid , Aristides Gionis , Antti Ukkonen

In order to cluster or partition data, we often use Expectation-and-Maximization (EM) or Variational approximation with a Gaussian Mixture Model (GMM), which is a parametric probability density function represented as a weighted sum of…

机器学习 · 计算机科学 2013-07-04 Ji Won Yoon

Clustering is an important exploratory data analysis technique to group objects based on their similarity. The widely used $K$-means clustering method relies on some notion of distance to partition data into a fewer number of groups. In the…

机器学习 · 统计学 2022-10-14 Yubo Zhuang , Xiaohui Chen , Yun Yang

Visual attention mechanisms are a key component of neural network models for computer vision. By focusing on a discrete set of objects or image regions, these mechanisms identify the most relevant features and use them to build more…

计算机视觉与模式识别 · 计算机科学 2021-04-08 António Farinhas , André F. T. Martins , Pedro M. Q. Aguiar

Multiple kernel learning algorithms are proposed to combine kernels in order to obtain a better similarity measure or to integrate feature representations coming from different data sources. Most of the previous research on such methods is…

机器学习 · 计算机科学 2012-07-03 Mehmet Gonen

Clustering is a separation of data into groups of similar objects. Every group called cluster consists of objects that are similar to one another and dissimilar to objects of other groups. In this paper, the K-Means algorithm is implemented…

机器学习 · 计算机科学 2013-04-03 P. Ashok , G. M Kadhar Nawaz , E. Elayaraja , V. Vadivel

K-Medoids(KM) is a standard clustering method, used extensively on semi-metric data.Error analyses of KM have traditionally used an in-sample notion of error,which can be far from the true error and suffer from generalization gap. We…

机器学习 · 计算机科学 2019-10-31 Aravindakshan Babu , Saurabh Agarwal , Sudarshan Babu , Hariharan Chandrasekaran

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

Nowadays, with the rapid development of data collection sources and feature extraction methods, multi-view data are getting easy to obtain and have received increasing research attention in recent years, among which, multi-view clustering…

计算机视觉与模式识别 · 计算机科学 2020-03-31 Qianqian Wang , Zhengming Ding , Zhiqiang Tao , Quanxue Gao , Yun Fu

In multi-view clustering, different views may have different confidence levels when learning a consensus representation. Existing methods usually address this by assigning distinctive weights to different views. However, due to noisy nature…

计算机视觉与模式识别 · 计算机科学 2017-05-23 Yanbo Fan , Jian Liang , Ran He , Bao-Gang Hu , Siwei Lyu

Multi-view Spectral Clustering (MvSC) attracts increasing attention due to diverse data sources. However, most existing works are prohibited in out-of-sample predictions and overlook model interpretability and exploration of clustering…

机器学习 · 计算机科学 2022-07-26 Qinghua Tao , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

There has been considerable work on improving popular clustering algorithm `K-means' in terms of mean squared error (MSE) and speed, both. However, most of the k-means variants tend to compute distance of each data point to each cluster…

机器学习 · 计算机科学 2017-01-18 Siddhesh Khandelwal , Amit Awekar

Multi-view clustering can partition data samples into their categories by learning a consensus representation in unsupervised way and has received more and more attention in recent years. However, most existing deep clustering methods learn…

计算机视觉与模式识别 · 计算机科学 2023-05-12 Weiqing Yan , Yuanyang Zhang , Chenlei Lv , Chang Tang , Guanghui Yue , Liang Liao , Weisi Lin

Given $M \geq 2$ distributions defined on a general measurable space, we introduce a nonparametric (kernel) measure of multi-sample dissimilarity (KMD) -- a parameter that quantifies the difference between the $M$ distributions. The…

统计理论 · 数学 2022-10-18 Zhen Huang , Bodhisattva Sen

While the great capability of Transformers significantly boosts prediction accuracy, it could also yield overconfident predictions and require calibrated uncertainty estimation, which can be commonly tackled by Gaussian processes (GPs).…

机器学习 · 计算机科学 2024-05-29 Yingyi Chen , Qinghua Tao , Francesco Tonin , Johan A. K. Suykens

This paper focuses on unpaired multi-view clustering (UMC), a challenging problem where paired observed samples are unavailable across multiple views. The goal is to perform effective joint clustering using the unpaired observed samples in…

计算机视觉与模式识别 · 计算机科学 2024-04-30 Like Xin , Wanqi Yang , Lei Wang , Ming Yang

Designing categorical kernels is a major challenge for Gaussian process regression with continuous and categorical inputs. Despite previous studies, it is difficult to identify a preferred method, either because the evaluation metrics, the…

机器学习 · 统计学 2025-10-03 Raphaël Carpintero Perez , Sébastien Da Veiga , Josselin Garnier